Linear equations

1. Complete the ordered pair so it is a solution to the given linear equation. give the answer as an ordered pair using parentheses and a comma.

3x + y = -7 (,2

y is given as 2

so we have

3x +2 = -7
3x = -9
x = -3

ordered pair = (-3,2)

2. solve these 2 system of equations

x - y = -5
x + 4y = 15

doing (1) - (2) we have

-y - 4y = -5 - 15
-5y = -20
y = 4
x = -5 + y
x = -5 + 4
x = -1
solution: x = -1, y = 4

5x + y = 0
-5x + y = -10

Ading 1 and 2 we have;

2y = -10
y = -5
x = 1 (from equation 1) [ 5x -5 = 0; so 5x = 5 so x =1]

3. Find the slope, if possible of the line passing through the pair of points (1,9) and (2,6).

slope = [y-y1] / [x-x1]

= [9 - 6] / [ 1 - 2]
= -3

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